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arXiv · 1902.08248

Ruled surfaces of finite type with respect to the second fundamental form

Hassan Al-Zoubi·Amer Dababneh·Waseem Mashaleh·Nancy Ramahi
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Abstract

In this article, we consider surfaces in the 3-dimensional Euclidean space E3 without parabolic points which are of finite II-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the second fundamental form. We study an important family of surfaces, namely, ruled surfaces in E3. We show that ruled surfaces are of infinite II-type.

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Hassan Al-Zoubi, Amer Dababneh, Waseem Mashaleh, Nancy Ramahi. 2019-02-20. Ruled surfaces of finite type with respect to the second fundamental form. https://arxiv.org/abs/1902.08248

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